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1,050,224

1,050,224 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,050,224 (one million fifty thousand two hundred twenty-four) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 9,377. Its proper divisors sum to 1,275,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100670.

Abundant Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
21 bits
Reversed
4,220,501
Square (n²)
1,102,970,450,176
Cube (n³)
1,158,366,038,065,639,424
Divisor count
20
σ(n) — sum of divisors
2,325,744
φ(n) — Euler's totient
450,048
Sum of prime factors
9,392

Primality

Prime factorization: 2 4 × 7 × 9377

Nearest primes: 1,050,197 (−27) · 1,050,229 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 9377 · 18754 · 37508 · 65639 · 75016 · 131278 · 150032 · 262556 · 525112 (half) · 1050224
Aliquot sum (sum of proper divisors): 1,275,520
Factor pairs (a × b = 1,050,224)
1 × 1050224
2 × 525112
4 × 262556
7 × 150032
8 × 131278
14 × 75016
16 × 65639
28 × 37508
56 × 18754
112 × 9377
First multiples
1,050,224 · 2,100,448 (double) · 3,150,672 · 4,200,896 · 5,251,120 · 6,301,344 · 7,351,568 · 8,401,792 · 9,452,016 · 10,502,240

Sums & aliquot sequence

As consecutive integers: 150,029 + 150,030 + … + 150,035 32,804 + 32,805 + … + 32,835 4,577 + 4,578 + … + 4,800
Aliquot sequence: 1,050,224 1,275,520 1,775,300 2,180,176 2,043,946 1,021,976 894,244 852,116 639,094 319,550 430,402 319,550 — enters a cycle

Continued fraction of √n

√1,050,224 = [1024; (1, 4, 8, 1, 19, 128, 19, 1, 8, 4, 1, 2048)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one million fifty thousand two hundred twenty-four
Ordinal
1050224th
Binary
100000000011001110000
Octal
4003160
Hexadecimal
0x100670
Base64
EAZw
One's complement
4,293,917,071 (32-bit)
Scientific notation
1.050224 × 10⁶
As a duration
1,050,224 s = 12 days, 3 hours, 43 minutes, 44 seconds
In other bases
ternary (3) 1222100122012
quaternary (4) 10000121300
quinary (5) 232101344
senary (6) 34302052
septenary (7) 11632610
nonary (9) 1870565
undecimal (11) 65805a
duodecimal (12) 427928
tridecimal (13) 2aa046
tetradecimal (14) 1d4a40
pentadecimal (15) 15b29e

As an angle

1,050,224° = 2,917 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零五萬零二百二十四
Chinese (financial)
壹佰零伍萬零貳佰貳拾肆
In other modern scripts
Eastern Arabic ١٠٥٠٢٢٤ Devanagari १०५०२२४ Bengali ১০৫০২২৪ Tamil ௧௦௫௦௨௨௪ Thai ๑๐๕๐๒๒๔ Tibetan ༡༠༥༠༢༢༤ Khmer ១០៥០២២៤ Lao ໑໐໕໐໒໒໔ Burmese ၁၀၅၀၂၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1050224, here are decompositions:

  • 73 + 1050151 = 1050224
  • 193 + 1050031 = 1050224
  • 211 + 1050013 = 1050224
  • 271 + 1049953 = 1050224
  • 283 + 1049941 = 1050224
  • 367 + 1049857 = 1050224
  • 397 + 1049827 = 1050224
  • 433 + 1049791 = 1050224

Showing the first eight; more decompositions exist.

Hex color
#100670
RGB(16, 6, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.6.112.

Address
0.16.6.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.6.112

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 0224 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0224-05-01 (DMMYYYY (Euro, single-digit day))
  • 0224-10-05 (MMDYYYY (US, single-digit day))
  • 0224-05-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,050,224 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.